Details

Time bar (total: 23.3s)

sample222.0ms

Algorithm
intervals
Results
122.0ms983×body80nan
59.0ms297×body80valid

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
done5000
64166
51972
4781
3251
280
130
014

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9)
0.1b
(fma (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))) rand (- a (/ 1.0 3.0)))
0.2b
(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
0.4b
(sqrt (* (- a (/ 1.0 3.0)) 9))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
30×*-un-lft-identity times-frac
18×add-cube-cbrt
12×difference-of-squares
9×pow1
8×add-cbrt-cube add-exp-log sqrt-prod
6×associate-*l* associate-*l/ associate-/l* distribute-lft-out--
4×expm1-log1p-u associate-/r* flip3-- sqrt-div insert-posit16 log1p-expm1-u flip-- add-log-exp
3×associate-*r*
2×sqrt-pow1 pow-prod-down associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg pow1/2 div-sub div-exp prod-exp *-commutative cbrt-unprod fma-udef div-inv unswap-sqr
Counts
4 → 107
Calls
4 calls:
24.0ms
(* (- a (/ 1.0 3.0)) 9)
0.0ms
(fma (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))) rand (- a (/ 1.0 3.0)))
39.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
9.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))

series355.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (- a (/ 1.0 3.0)) 9)
113.0ms
(fma (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))) rand (- a (/ 1.0 3.0)))
80.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
100.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))

simplify1.8s

Counts
119 → 119
Iterations
IterNodes
done5000
21453
1499
0213

prune762.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.1b
(fma (* 1 (/ (sqrt (- a (/ 1.0 3.0))) 3)) rand (- a (/ 1.0 3.0)))
0.2b
(/ (sqrt (- a (/ 1.0 3.0))) 3)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
32×*-un-lft-identity times-frac
30×sqrt-prod
22×add-cube-cbrt
10×difference-of-squares
9×associate-/l*
5×add-cbrt-cube add-exp-log distribute-lft-out--
4×pow1 sqrt-div
3×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u add-log-exp
2×flip3-- flip-- associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp fma-udef div-inv
Counts
3 → 88
Calls
3 calls:
21.0ms
(sqrt (- a (/ 1.0 3.0)))
0.0ms
(fma (* 1 (/ (sqrt (- a (/ 1.0 3.0))) 3)) rand (- a (/ 1.0 3.0)))
19.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)

series242.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(sqrt (- a (/ 1.0 3.0)))
90.0ms
(fma (* 1 (/ (sqrt (- a (/ 1.0 3.0))) 3)) rand (- a (/ 1.0 3.0)))
85.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)

simplify2.1s

Counts
97 → 97
Iterations
IterNodes
done5000
32358
2804
1350
0176

prune525.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.1b
(fma (/ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) 3)) rand (- a (/ 1.0 3.0)))
0.2b
(/ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) 3))
0.2b
(* (sqrt (- a (/ 1.0 3.0))) 3)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
18×*-un-lft-identity
13×sqrt-prod
11×add-cbrt-cube add-exp-log
10×times-frac add-cube-cbrt
9×associate-*l*
8×difference-of-squares
7×pow1
6×sqrt-div associate-/l*
4×expm1-log1p-u flip3-- associate-*l/ insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- add-log-exp
3×associate-*r*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod unswap-sqr associate-/l/
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub pow-prod-down *-commutative fma-udef div-inv
Counts
4 → 97
Calls
4 calls:
10.0ms
(sqrt (- a (/ 1.0 3.0)))
0.0ms
(fma (/ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) 3)) rand (- a (/ 1.0 3.0)))
44.0ms
(/ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) 3))
21.0ms
(* (sqrt (- a (/ 1.0 3.0))) 3)

series360.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(sqrt (- a (/ 1.0 3.0)))
107.0ms
(fma (/ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) 3)) rand (- a (/ 1.0 3.0)))
106.0ms
(/ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) 3))
94.0ms
(* (sqrt (- a (/ 1.0 3.0))) 3)

simplify3.3s

Counts
109 → 109
Iterations
IterNodes
done5002
21663
1481
0196

prune425.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.3b
(* (sqrt (- a (/ 1.0 3.0))) (/ rand 3))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
16×*-un-lft-identity
14×sqrt-prod
13×times-frac associate-*r*
12×add-cube-cbrt
9×associate-*l*
7×add-cbrt-cube add-exp-log
6×sqrt-div
5×pow1
4×difference-of-squares unswap-sqr
3×flip3-- flip--
2×expm1-log1p-u frac-times associate-*l/ prod-exp cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp pow-prod-down associate-*r/ *-commutative div-inv
Counts
2 → 68
Calls
2 calls:
19.0ms
(sqrt (- a (/ 1.0 3.0)))
55.0ms
(* (sqrt (- a (/ 1.0 3.0))) (/ rand 3))

series254.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(sqrt (- a (/ 1.0 3.0)))
206.0ms
(* (sqrt (- a (/ 1.0 3.0))) (/ rand 3))

simplify2.9s

Counts
74 → 74
Iterations
IterNodes
done5000
34959
21204
1415
0170

prune274.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample5.4s

Algorithm
intervals
Results
3.5s26912×body80nan
1.1s9127×body80valid